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arXiv · 1501.00268

Quantum transport in 3D Weyl semimetals: Is there a metal-insulator transition?

K. Ziegler
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Abstract

We calculate the transport properties of three-dimensional Weyl fermions in a disordered environment. The resulting conductivity depends only on the Fermi energy and the scattering rate. First we study the conductivity at the spectral node for a fixed scattering rate and obtain a continuous transition from an insulator at weak disorder to a metal at stronger disorder. In the self-consistent Born approximation the scattering rate depends on the Fermi energy. Then it is crucial that the limits of the conductivity for a vanishing Fermi energy and a vanishing scattering rate do not commute. As a result, there is also metallic behavior in the phase with vanishing scattering rate and only a quantum critical point remains as an insulating state.

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K. Ziegler. 2016-12-06. Quantum transport in 3D Weyl semimetals: Is there a metal-insulator transition?. https://doi.org/10.1140/epjb%2Fe2016-70454-2

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